# Electron-He{sup +} P-wave elastic scattering and photoabsorption in two-electron systems

## Abstract

In a previous paper [A. K. Bhatia, Phys. Rev. A 69, 032714 (2004)], electron-hydrogen P-wave scattering phase shifts were calculated using the optical potential approach based on the Feshbach projection operator formalism. This method is now extended to the singlet and triplet electron-He{sup +} P-wave scattering in the elastic region. Phase shifts are calculated using Hylleraas-type correlation functions with up to 220 terms. Results are rigorous lower bounds to the exact phase shifts, and they are compared to phase shifts obtained from the method of polarized orbitals and close-coupling calculations. The continuum functions calculated here are used to calculate photoabsorption cross sections. Photoionization cross sections of He and photodetachment cross sections of H{sup -} are calculated in the elastic region--i.e., leaving He{sup +} and H in their respective ground states--and compared with previous calculations. Radiative attachment rates are also calculated.

- Authors:

- NASA/Goddard Space Flight Center, Greenbelt, Maryland 20771 (United States)

- Publication Date:

- OSTI Identifier:
- 20786709

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physical Review. A; Journal Volume: 73; Journal Issue: 1; Other Information: DOI: 10.1103/PhysRevA.73.012705; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 74 ATOMIC AND MOLECULAR PHYSICS; CORRELATION FUNCTIONS; COUPLING; CROSS SECTIONS; ELASTIC SCATTERING; ELECTRON ATTACHMENT; ELECTRON DETACHMENT; ELECTRON-ATOM COLLISIONS; ELECTRONS; EXCITATION; GROUND STATES; HELIUM IONS; HYDROGEN; HYDROGEN IONS 1 MINUS; P WAVES; PHASE SHIFT; PHOTOIONIZATION; PHOTON-ATOM COLLISIONS; POTENTIALS; PROJECTION OPERATORS; TRIPLETS

### Citation Formats

```
Bhatia, A. K..
```*Electron-He{sup +} P-wave elastic scattering and photoabsorption in two-electron systems*. United States: N. p., 2006.
Web. doi:10.1103/PHYSREVA.73.0.

```
Bhatia, A. K..
```*Electron-He{sup +} P-wave elastic scattering and photoabsorption in two-electron systems*. United States. doi:10.1103/PHYSREVA.73.0.

```
Bhatia, A. K.. Sun .
"Electron-He{sup +} P-wave elastic scattering and photoabsorption in two-electron systems". United States.
doi:10.1103/PHYSREVA.73.0.
```

```
@article{osti_20786709,
```

title = {Electron-He{sup +} P-wave elastic scattering and photoabsorption in two-electron systems},

author = {Bhatia, A. K.},

abstractNote = {In a previous paper [A. K. Bhatia, Phys. Rev. A 69, 032714 (2004)], electron-hydrogen P-wave scattering phase shifts were calculated using the optical potential approach based on the Feshbach projection operator formalism. This method is now extended to the singlet and triplet electron-He{sup +} P-wave scattering in the elastic region. Phase shifts are calculated using Hylleraas-type correlation functions with up to 220 terms. Results are rigorous lower bounds to the exact phase shifts, and they are compared to phase shifts obtained from the method of polarized orbitals and close-coupling calculations. The continuum functions calculated here are used to calculate photoabsorption cross sections. Photoionization cross sections of He and photodetachment cross sections of H{sup -} are calculated in the elastic region--i.e., leaving He{sup +} and H in their respective ground states--and compared with previous calculations. Radiative attachment rates are also calculated.},

doi = {10.1103/PHYSREVA.73.0},

journal = {Physical Review. A},

number = 1,

volume = 73,

place = {United States},

year = {Sun Jan 15 00:00:00 EST 2006},

month = {Sun Jan 15 00:00:00 EST 2006}

}